Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Conicas

For Students 9th - 10th Standards
Learn about the different conic sessions and try the different interactive exercises.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Equation of a Circle

For Students 9th - 10th Standards
Two problems that help with the understanding of how to find the general equation of a circle. Includes a graph.
Activity
Texas Instruments

Texas Instruments: Equations of Circles

For Teachers 9th - 10th Standards
In this activity, students will explore the relationship among the location of the center of the circle, the radius of a circle, and the equation of a circle in a plane. They will also investigate the relationship between the points...
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McGraw Hill

Glencoe: Quiz on the Rectangular and Parametric Form of Conic Sections

For Students 9th - 10th Standards
The online assessment demonstrates understanding of advanced mathematical concepts in Trigonometry. The questions assess students on the rectangular and parametric form of conic sections.
Handout
University of Saskatchewan (Canada)

University of Saskatchewan: Circles and Other Conics

For Students 9th - 10th Standards
Gives brief description and standard equations for the four conic sections. Includes pictures, examples, and practice problems.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Ellipse or Circle? Parametric Equation

For Students 9th - 10th Standards
Dr. Math, in reply to a student question, shows how a specific pair of parametric equations produces a circle as opposed to an ellipse.
Website
Discovery Education

Discovery Education: Web Math: Plots and Geometry

For Students 9th - 10th Standards
This site provides descriptions and helpful hints regarding conic sections - circles, parabolas, ellipses, and hyperbolas. Content also includes interactive problem solvers complete with a full analysis of the math behind the answer.
Activity
Discovery Education

Discovery Education: Web Math: Graphing Ellipses

For Students 9th - 10th Standards
WebMath offers a java applet that allows you to input information about an ellipse, in one of four forms, and gives you the graph of the ellipse.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Conic Sections

For Students 9th - 10th Standards
Students can investigate the graphs of conic sections in standard form. Cirlce, ellipse, and hyperbola graphs are included.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: General Form for Conic Sections

For Students 9th - 10th Standards
Students investigate the general form of the equation for a conic section. This interactive tool evaluates the changes that occur from using different coefficients in the equation.
Unit Plan
Sophia Learning

Sophia: Equation of a Circle: Introduction

For Students 9th - 10th Standards
Follow along with this tutorial to explore writing equations of a circle.
Activity
Texas Instruments

Texas Instruments: Conics: Circles

For Teachers 9th - 10th Standards
In this study of conics, students will examine the derivation of equations for circles. There are two general equations for circles. The first is a circle whose center is at the origin, while the second is a circle whose center is not at...
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Khan Academy

Khan Academy: Graph a Circle From Its Standard Equation

For Students 9th - 10th Standards
Given the standard form equation of a circle, graph the circle. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Features of a Circle From Its Expanded Equation

For Students 9th - 10th Standards
Find the center and radius of a circle given the equation in expanded form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Handout
Johan Claeys

Math Abundance: The Hyperbola

For Students 9th - 10th Standards
Great Site! Defines Hyperbola, gives the parametric equation, etc.
Handout
Johan Claeys

Math Abundance: The Circle: Basic Concepts

For Students 9th - 10th Standards
Goes over the equation of a circle, parametric equations of a circle, intersection of circle and line, tangent line in a point of a circle, etc.
Activity
Purple Math

Purplemath: Completing the Square: Ellipses Equations

For Students 9th - 10th Standards
Demonstrates step-by-step how to complete the square for ellipses and hyperbolas. Includes several charts and graphs for understanding.
Activity
Purple Math

Purplemath: Completing the Square: Circle Equations

For Students 9th - 10th Standards
This tutorial works through two examples step by step that shows how to complete the square for finding the center and radius of a circle.
Website
Purple Math

Purplemath: Conics: Ellipses: Introduction

For Students 9th - 10th Standards
Introduces the basic terms, variables, and equations for ellipses, and discusses their physical properties.
Handout
Purple Math

Purplemath: Conics: An Overview

For Students 9th - 10th Standards
Introduces the basics of conics in algebra, including a flow-chart for determining which sort of conic is represented by a given equation.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe Slopes and Circles

For Teachers 9th - 10th Standards
The purpose of this task is to lead learners through an algebraic approach to a well-known result from classical geometry, namely, that a point X is on the circle of diameter AB whenever angle AXB is a right angle. This consists of...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe Explaining the Equation for a Circle

For Teachers 9th - 10th Standards
This problem examines equations defining different circles in the x-y plane. Students must use the Pythagorean Theorem to find equations whose solutions are points on the circle and explain why they work. Includes a GeoGebra worksheet...
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Khan Academy

Khan Academy: Features of a Circle From Its Standard Equation

For Students 9th - 10th Standards
Find the center and radius of a circle given the equation in standard form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Equation of an Ellipse From Features

For Students 9th - 10th Standards
Given the foci of an ellipse (and some other feature), find its equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.